(1+2x+3x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2)+......+a_(20)x^(20)

If (2+x+x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2)+......+a_(20)x^(20) then (a_(1)-a_(0))/(a_(20))=

If (1+x+x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2)+.........+a_(20)x^(20) then _((a_(9)-10C_(1)*a_(8)+10C_(2)*a_(7)-10C_(3)*a_(6)+......+10C_(9)*a_(0))) is equal to

If (1 + x - 3x^(2))^(10) = a_(0) + a_(1)x + a_(2)x^(2) + ....... + a_(20)x^(20) , then a_(2) + a_(4) + a_(6) + ……. + a_(20) =

If (1-2x+x^(4))^(5)=a_(o)+a_(1)+a_(2)x^(2)+......a_(20)x^(20) then a_(0)+a_(1)+a_(2)+......a_(20) is

Given that (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+......+a_(2n)x^(2n) , find the values of a_(0)^(2)-a_(1)^(2)+a_(2)^(2)-a_(3)^(2)+....+a_(2n)^(2)

Given that (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+......+a_(2n)x^(2n) , find the values of a_(0)-a_(1)+a_(2)-a_(3)......+a_(2n) ,

If (1+3x-2x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2).+…+a_(20)x^(20) then prove that a_(0)-a_(1)++a_(2)-a_(3)+……+a_(20)=4^(10)

If (1+3x-2x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2).+…+a_(20)x^(20) then prove that a_(0)-a_(1)++a_(2)-a_(3)+……+a_(20)=4^(10)

If (1+3x-2x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2).+…+a_(20)x^(20) then prove that a_(0)+a_(1)+a_(2)+……+a_(20)=2^(10)

If (1+3x-2x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2).+…+a_(20)x^(20) then prove that a_(0)+a_(1)+a_(2)+……+a_(20)=2^(10)